#28aa functions rate of change and initial value

LR4.03 – given one representation, decide other representations of a linear relationship resulting from a realistic situation (e.g., given a numeric model, determine a graphical model and an algebraic model; given a graph, determine some points on the graph and determine an algebraic model);
I’m Kyle Pearce, and I used to teach high school math. I’m now the K-12 Mathematics Consultant for the Greater Essex County District School Board, where I find new ways to pique students’ interest in mathematics and help them make sense of it. Continue reading to learn more.

Finding the initial amount and rate of change given a graph of

2. any points where the functions equal each other Math, Algebra, Algebra, Algebra, Algebra, Algebra, Algebra, Algebra, Algebra, Al 2nd – 11th grades Worksheets, activities, and homework are examples of various types of worksheets. Show more details Add to shopping cart Lindsey Henderson’s Linear and Exponential Rates of Change Lesson 4 of 6 \$7,000.00 Students are given a linear or exponential graph, an explicit equation, or a function (with an initial value) to define and explain:
Essential to the Solutions Math, Algebra, Algebra, Algebra, Algebra, Algebra, Algebra, Algebra, Algebra, Al 2nd – 11th grades Worksheets, activities, and homework are examples of various types of worksheets. Show more details Add to shopping cart Lindsey Henderson’s Linear and Exponential Rates of Change, Lesson 3 of 6 \$7,000.00 Students are given a linear or exponential recursive function as well as an initial value, and they must:

Lesson: rate of change and start value

Students use a table of values to determine the rate of change (slope) and initial value (y-intercept) in real-world linear relationships. They do so by using a table to calculate the rate of change, then substituting in an algebraic equation to determine the initial value. After students have a clear understanding of slope (rate of change) and y-intercept, this series of lessons (which involves writing equations from graphs, verbal explanations, and value tables) should be taught (initial value). Understanding systems of equations would be easier if you master the concepts in this tutorial.

Id rate of change & initial value in tables

the slope of a tangent line, which just barely touches this graph, and then right over here, it appears to be a little bit steeper, and then over here, it appears to be divided by our change in time, which is going to be equal to, well, our change in time is one second, one, I’ll put the units here, one second, and what is our change in distance? At t equals zero, d of zero is one, and d of one is two, so our distance has an average rate of change of one meter per second from t equals zero to t equals one, but imagine what it is if we go from t equals two to t equals three. We may, however, do so once more.